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Grey Fuzzy Multi-Objective Optimization

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Fuzzy Multi-Criteria Decision Making

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 16))

Abstract

This chapter provides a description of grey fuzzy multi-objective optimization. A prerequisite background on grey systems, along with preliminary definitions is provided. Formulation of the grey fuzzy optimization starting with a general fuzzy optimization problem is discussed. Extension of the grey fuzzy optimization with the acceptability index to include multiple objectives is presented. Application of the grey fuzzy multi-objective optimization is demonstrated with the problem of waste load allocation in the field of environmental engineering.

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Author information

Authors and Affiliations

  1. Department of Civil Engineering, Indian Institute of Science, Bangalore, India

    P. P. Mujumdar & Subhankar Karmakar

Authors
  1. P. P. Mujumdar
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  2. Subhankar Karmakar
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Editor information

Editors and Affiliations

  1. Department of Industrial Engineering, Istanbul Technical University, Campus Macka, 34367, Istanbul, Turkey

    Cengiz Kahraman

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Mujumdar, P.P., Karmakar, S. (2008). Grey Fuzzy Multi-Objective Optimization. In: Kahraman, C. (eds) Fuzzy Multi-Criteria Decision Making. Springer Optimization and Its Applications, vol 16. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-76813-7_18

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